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Finding the Fourth Proportional to 20,710, 31,065.24 and 5,127.76

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Solution

The fourth proportional to 20,710, 31,065.24 and 5,127.76 is: 7,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 31,065.24 = 5,127.76 : x
  2. Step 2: Convert to fraction form
    20,710/31,065.24 = 5,127.76/x
  3. Step 3: Cross multiply
    20,710x = 31,065.24 × 5,127.76
  4. Step 4: Simplify right side
    20,710x = 159,295,095.06
  5. Step 5: Solve for x
    x = 159,295,095.06/20,710
  6. Step 6: Final answer
    x = 7,691.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.